Question

The neck and bottom of a bottle are 2 cm and 10 cm in diameter respectively. The bottle is completely filled with oil. If cork in the neck is pressed with a force of 12 N, what force is exerted on the bottom of the bottle?

Answer 1

Explanation:

A rectangular block has dimensions 4m × 3m × 2m.

we have to find the ratio of the pressure exerted by the box with surface of contact 4m × 3m and 3m × 2m

solution : let force exerted by the box with each surface of contact is F.

we know, pressure is the ratio force to the area of surface of contact.

as force remains constant.

so pressure is inversely proportional to area of surface of contact.

i.e., P₁/P₂ = A₂/A₁

= (3m × 2m)/(4m × 3m)

= 6m²/12m²

= 1/2

Therefore the ratio of the pressure exerted by the box with surface of contact is 1 : 2.